加权Sobolev类中函数隶属性的点态条件

IF 0.6 4区 数学 Q3 MATHEMATICS
V. I. Bogachev
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引用次数: 0

摘要

根据已知的表征,一个函数\(f\)属于包含在\(L^p(\mathbb{R}^n)\)中的函数及其广义一阶导数的Sobolev空间\(W^{p,1}(\mathbb{R}^n)\),精确地当存在一个函数\(g\in L^p(\mathbb{R}^n)\)使得
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes

According to a known characterization, a function \(f\) belongs to the Sobolev space \(W^{p,1}(\mathbb{R}^n)\) of functions contained in \(L^p(\mathbb{R}^n)\) along with their generalized first-order derivatives precisely when there is a function \(g\in L^p(\mathbb{R}^n)\) such that

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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
7
审稿时长
>12 weeks
期刊介绍: Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.
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